1082657664 has 240 divisors, whose sum is σ = 3545609760. Its totient is φ = 327697920.

The previous prime is 1082657657. The next prime is 1082657687. The reversal of 1082657664 is 4667562801.

1082657664 is a `hidden beast` number, since 10 + 8 + 2 + 6 + 576 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254097 + ... + 1254959.

It is an arithmetic number, because the mean of its divisors is an integer number (14773374).

Almost surely, 2^1082657664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082657664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772804880).

1082657664 is an abundant number, since it is smaller than the sum of its proper divisors (2462952096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1082657664 is an equidigital number, since it uses as much as digits as its factorization.

1082657664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1082657664 is about 32903.7636753001. The cubic root of 1082657664 is about 1026.8264603887.

The spelling of 1082657664 in words is "one billion, eighty-two million, six hundred fifty-seven thousand, six hundred sixty-four".